document.write( "Question 246717: Hello,\r
\n" ); document.write( "\n" ); document.write( "I need help in solving the following problem, I have tried but I do not understand how to solve the problem.\r
\n" ); document.write( "\n" ); document.write( "Here the problem:\r
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\n" ); document.write( "\n" ); document.write( "Solve \"t%5E4-11t%5E2%2B18\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you so much, I think that you guys are great to help people like me, I been out of school for 15 years and it hard trying to remember how to solve these type of problems.\r
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Algebra.Com's Answer #180080 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
We are going to use a little trick to solve this.
\n" ); document.write( "Substitute u for t^2
\n" ); document.write( "That gives us
\n" ); document.write( "u^2-11+18=0
\n" ); document.write( "we can solve with the factoring, quadratic formula or complete the square
\n" ); document.write( "factoring is the easiest
\n" ); document.write( "(u-2)(-9)=0
\n" ); document.write( "u=2
\n" ); document.write( "u=9
\n" ); document.write( "but u=x^2 so
\n" ); document.write( "+\- means plus or minus
\n" ); document.write( "+\-t=sqrt(u)
\n" ); document.write( "so we have four solutions
\n" ); document.write( "t=+\-sqrt(2)
\n" ); document.write( "t=+\-3
\n" ); document.write( "see below to use the quadratic formula
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-11x%2B18+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-11%29%5E2-4%2A1%2A18=49\".
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\n" ); document.write( " Discriminant d=49 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--11%2B-sqrt%28+49+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+49+%29%29%2F2%5C1+=+9\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-11%29-sqrt%28+49+%29%29%2F2%5C1+=+2\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-11x%2B18\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-11x%2B18+=+1%28x-9%29%2A%28x-2%29\"
\n" ); document.write( " Again, the answer is: 9, 2.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-11%2Ax%2B18+%29\"

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